Question

Determinati n astfel incat 2n+1 sa divida pe 60

dau coroana

Answer 1

Egalam 2n+1 cu divizorii nr.60


D₆₀={1,2,3,4,5,6,10,12,15,20,30,60}

2n+1=1⇒2n=1-1⇒2n=0⇒n=0
2n+1=2⇒2n=2-1⇒2n=1⇒n=1/2⇒n=0,5
2n+1=3⇒2n=3-1⇒2n=2⇒n=2:2⇒n=1
2n+1=4⇒2n=4-1⇒2n=3⇒n=3/2⇒n=1,5
2n+1=5⇒2n=5-1⇒2n=4⇒n=4:2⇒n=2
2n+1=6⇒2n=6-1⇒2n=5⇒n=5/2⇒n=2,5
2n+1=10⇒2n=10-1⇒2n=9⇒n=9/2⇒n=4,5
2n+1=12⇒2n=12-1⇒2n=11⇒n=11/2⇒n=5,5
2n+1=15⇒2n=14⇒n=7
2n+1=20⇒2n=19⇒n=9,5
2n+1=30⇒2n=29⇒n=14,5
2n+1=60⇒2n=59⇒n=29,5